Classifying Spinor Structures
| dc.creator | Morrison, Scott | |
| dc.date | 2001-06-10 | |
| dc.date.accessioned | 2026-07-07T04:28:30Z | |
| dc.date.available | 2026-07-07T04:28:30Z | |
| dc.description | I begin by explaining how Riemannian geometry can be understood in terms of principal fibre bundles and connections thereon. I then introduce and motivate the definition of a spinor structure in terms of familiar geometrical ideas. The central result of this thesis is a complete and constructive classification of spinor structures, generalising some earlier results. I will explain how principal fibre bundles and covering spaces provide the key ingredients to the proof. A different type of classification can also be attempted, in terms of the underlying principal fibre bundle, and this allows us to compare `spinor connections'. The final part indicates how spinor structures for Lorentzian manifolds provide the natural setting for the `spinor calculus', and so for the Dirac equation for the electron. The effect of the choice of spinor structure on the Dirac equation is investigated. | |
| dc.description | Submitted as a thesis for consideration in the degree of Bachelor of Science with honours in Pure Mathematics at the University of New South Wales, Australia; 95 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0106007 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0106007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56810 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C10; 53C27; 83C60 | |
| dc.title | Classifying Spinor Structures | |
| dc.type | text |